Leonhard Euler. [II.]

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Leonhard Euler and the Theory of Ships

On April 15, 2007 the scientific world has commemorated Leonhard Euler's 300 th birthday. Euler's eminent work has become famous in many fields: Mathematics, mechanics, optics, acoustics, astronomy and geodesy, even in the theory of music. This article will recall his no less distinguished contributions to the founding of the modern theory of ships. These are not so widely known to the general ...

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On the occasion of the 300th anniversary of Euler’s birth (on April 15), an attempt is made to bring Euler’s genius to the attention of a broad segment of the educated public. The three stations of his life—Basel, St. Petersburg, and Berlin—are sketched and the principal works identified in more or less chronological order. To convey a flavor of his work and its impact on modern science, a sele...

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LEONHARD EULER AND A q-ANALOGUE OF THE LOGARITHM

We study a q-logarithm which was introduced by Euler and give some of its properties. This q-logarithm did not get much attention in the recent literature. We derive basic properties, some of which were already given by Euler in a 1751-paper and 1734-letter to Daniel Bernoulli. The corresponding q-analogue of the dilogarithm is introduced. The relation to the values at 1 and 2 of a q-analogue o...

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ژورنال

عنوان ژورنال: Časopis pro pěstování matematiky a fysiky

سال: 1908

ISSN: 1802-114X

DOI: 10.21136/cpmf.1908.122969